Math Problem Statement

Weaver Corporation had the following stock issued and outstanding at January 1, Year 2:

51,000 shares of $7 par common stock. 5,500 shares of $60 par, 5 percent, noncumulative preferred stock. On June 10, Weaver Corporation declared the annual cash dividend on its 5,500 shares of preferred stock and a $5 per share dividend for the common shareholders. The dividends will be paid on July 1 to the shareholders of record on June 20.

Required Determine the total amount of dividends to be paid to the preferred shareholders and common shareholders

Solution

To determine the total amount of dividends to be paid, we need to calculate the dividends for both preferred and common shareholders separately.

Preferred Shareholders' Dividends

The preferred stock is noncumulative and pays a 5% annual dividend on its $60 par value.

  1. Par value per preferred share: $60
  2. Number of preferred shares: 5,500
  3. Dividend rate: 5%

The dividend for preferred shareholders is calculated as follows:

Preferred Dividend=Number of Shares×Par Value per Share×Dividend Rate\text{Preferred Dividend} = \text{Number of Shares} \times \text{Par Value per Share} \times \text{Dividend Rate} =5,500×60×0.05= 5,500 \times 60 \times 0.05 =5,500×3=16,500= 5,500 \times 3 = 16,500

So, the total dividend for the preferred shareholders is $16,500.

Common Shareholders' Dividends

The common shareholders are to receive a dividend of $5 per share.

  1. Number of common shares: 51,000
  2. Dividend per share: $5

The dividend for common shareholders is calculated as follows:

Common Dividend=Number of Shares×Dividend per Share\text{Common Dividend} = \text{Number of Shares} \times \text{Dividend per Share} =51,000×5=255,000= 51,000 \times 5 = 255,000

So, the total dividend for the common shareholders is $255,000.

Total Dividends

The total dividend amount to be paid to both preferred and common shareholders is:

Total Dividend=Preferred Dividend+Common Dividend\text{Total Dividend} = \text{Preferred Dividend} + \text{Common Dividend} =16,500+255,000=271,500= 16,500 + 255,000 = 271,500

Summary

  • Total dividends for preferred shareholders: $16,500
  • Total dividends for common shareholders: $255,000
  • Total dividends to be paid: $271,500

Would you like more details on any part of the calculation?


Here are 5 related questions for further exploration:

  1. How would the dividends change if the preferred stock was cumulative?
  2. What is the impact on retained earnings due to the dividend payment?
  3. How would the dividend be distributed if the company decided to issue a stock dividend instead?
  4. How would the calculation change if the dividend per share for common stock was different?
  5. What are the tax implications of dividend distributions for shareholders?

Tip: Remember, noncumulative preferred shareholders do not receive dividends in arrears from previous years. Only the current year's dividend is considered.

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Math Problem Analysis

Mathematical Concepts

Dividend Calculation
Basic Arithmetic
Stock Valuation

Formulas

Preferred Dividend = Number of Shares × Par Value per Share × Dividend Rate
Common Dividend = Number of Shares × Dividend per Share
Total Dividend = Preferred Dividend + Common Dividend

Theorems

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Suitable Grade Level

Grades 9-12